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A Helly-type theorem for semi-monotone sets and monotone maps

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Publication:393726
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DOI10.1007/s00454-013-9540-yzbMath1284.14082arXiv1202.1198OpenAlexW2055580723MaRDI QIDQ393726

Saugata Basu, Andrei Gabrielov, Nikolaj N. jun. Vorob'ev

Publication date: 24 January 2014

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1198


zbMATH Keywords

Helly's theoremo-minimal structuresmonotone mapssemi-monotone sets


Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Helly-type theorems and geometric transversal theory (52A35)


Related Items (1)

Helly’s theorem: New variations and applications



Cites Work

  • Unnamed Item
  • Reconstructing dimensions of intersections of convex sets
  • Monotone functions and maps
  • Semi-monotone sets
  • The dimension of intersections of convex sets
  • The dimension of intersections of convex sets


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